Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4168/824, 3375/1513 quickly i.e. 14067000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4168/824, 3375/1513 is 14067000.
LCM(4168/824, 3375/1513) = 14067000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4168/824,3375/1513
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 4168,3375
Least Common Multiple of Numerators i.e. LCM of 4168,3375 is 14067000.
GCF of Denominators means GCF of 824,1513 as per the given fractions.
GCF of 824,1513 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4168,3375
Given numbers has no common factors except 1. So, there LCM is their product i.e 14067000
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 4168,3375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4168,3375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4168,3375) x common factors =1 x 1 = 1
LCM(4168,3375) = ( 4168 × 3375 ) / 1
LCM(4168,3375) = 14067000 / 1
LCM(4168,3375) = 14067000
Lets's calculate GCF of 824,1513
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14067000/1
Therefore the LCM of Fractions 4168/824,3375/1513 is 14067000
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 1513
List of positive integer factors of 1513 that divides 1513 without a remainder.
1,17,89,1513
Greatest Common Factor
We found the factors 824,1513 . The biggest common factor number is the GCF number.
So the greatest common factor 824,1513 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 4168/824, 3375/1513?
Answer: LCM of Numerators as per given numbers 4168/824, 3375/1513 is
LCM of Numerators i.e. for 4168,3375 is 14067000
GCF of denominators i.e. for 824,1513 is 1.
Thus, LCM of Fractions is 14067000.Finally, LCM of Fractions for 4168/824, 3375/1513 is 14067000.